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LCM-stableness in ring extensions

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Publication:788051
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zbMath0531.13001MaRDI QIDQ788051

Hirohumi Uda

Publication date: 1983

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

GCD-domain\(G_ 2\)-stable extension\(R_ 2\)-stable extensionLCM-stable extension of integral domainspolynomial gradepolynomial ring extension


Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Extension theory of commutative rings (13B02)


Related Items

Flatness, LCM-stability, and related module-theoretic properties, On the structure of ⋆-power conductor domains, Integral domains in which any two \(v\)-coprime elements are comaximal, Some remarks on Prüfer \(\bigstar\)-multiplication domains and class groups, LCM-splitting sets in some ring extensions, LCM-Stability of Power Series Extensions Characterizes Dedekind Domains, Almost GCD domains of finite \(t\)-character., Intersections of quotient rings and Prüfer v-multiplication domains, Spectral spaces of semistar operations



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